I use a couple of sewing needles, one to push out the pin and one to gently push back the tab. If you're having to pull more the very gently, something is wrong..

Pull the purple pin retainer, put the eye of a medium needle in the tiny hole next to the pin, push the pin in to release the lock, very gently use the needle to press the retaining tab and pull on the wire. if it doesn't just slide out with almost no resistance, try again. If you broke off the wire, use a second long needle to push it out.

The package of needles I used to test this with says size John James JJ19826 Size 26 Tapestry. The long ones I'd use to push it out say a lot of stuff in Chinese but show a size of 90x1.5mm

Ira